# Shiang Tang’s website

I am a J. L. Doob Research Assistant Professor at the University of Illinois at Urbana-Champaign. My research field is algebraic number theory. More specifically, I am interested in Galois representations and its connection with motives and automorphic forms. I used to think a bit about the representation theory of reductive groups and their covering groups over real and p-adic fields, but not so much lately. I received my Ph.D. in 2018, my advisor was Stefan Patrikis. I am currently on the job market.

I have 8 years of college teaching experience as an instructor of record. As a postdoc at UIUC, I taught Discrete Mathematics, Fundamental Mathematics, Abstract Algebra, Abstract Linear Algebra, Applied Complex Variables, Elementary Theory of Numbers and Algebraic Number Theory (graduate level) at UIUC. As a graduate student in Utah, I taught a variety of classes ranging from entry-level college algebra to mathematical analysis.

I am passionate about explaining mathematical ideas to general audience and developing ideas for undergraduate research. In Spring 2019, I was the faculty mentor of an Illinois Geometry Lab project “Finite Reflection Groups and Related Topics”. I mentored three talented undergrads with the help of one graduate student. This project consists of a semester-long seminar/discussion, a mid-semester report and a final report. My students computed certain variants of the Weyl groups of exceptional algebraic groups using GAP and MAGMA. In Spring 2021, I mentored another Illinois Geometry Lab project “P-adic Numbers and Ultrametric Calculus”. In this project, four undergraduate students investigated properties the Artin-Hasse exponential in connection with p-adic numbers and wrote up an expository paper.